The generator matrix

 1  0  1  1  1 X^2  1  1  X  X  1  1  1  1 X^2  1  1 X^2 X^2+X  1  1  1  1 X^2+X  X  X  0 X^2+X X^2 X^2 X^2+X  1  1  X  1  1  0  1  1  0  1 X^2  1 X^2+X  0  1  1  0  1  1 X^2  1  X  1  1 X^2+X X^2  1 X^2+X  0  X  0  1  X  1  1 X^2 X^2  1  1  1  1  1  X  1
 0  1  1  0 X+1  1 X^2+X+1  0  1  1 X^2  1  X X+1  1 X^2+X X+1  1  1  X  1  X X^2+1  1  1  1  1  1  1  1  1 X^2  1  1 X^2+X+1  0  1 X^2+1  0  0 X^2+X+1  1 X^2  1  1 X^2+X X^2+X  1 X^2+X  0  1 X+1  1 X^2+X+1 X^2+X  1  1  X  1  1  0  1  1  1  X X^2  1  1 X+1  X X^2 X^2+1  X X^2  0
 0  0  X  0  0  0  0  X X^2+X X^2+X  X  X X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2+X X^2 X^2 X^2 X^2 X^2+X  X  0  X  0 X^2+X X^2+X X^2 X^2+X  X X^2 X^2 X^2+X  X  0  0 X^2  X X^2+X X^2 X^2  0  0 X^2+X  0  X  0 X^2+X X^2  X  X  0  0  0 X^2 X^2+X  X X^2+X X^2+X X^2  0  X  0  0  X X^2  0 X^2+X X^2 X^2+X  X  0
 0  0  0  X X^2 X^2+X X^2+X  X X^2 X^2+X X^2 X^2+X X^2 X^2+X  X  X  0  0  0  X X^2+X  0 X^2  X X^2  X X^2+X  0  0 X^2+X X^2  0 X^2 X^2+X X^2+X  X  0  0 X^2  X  X X^2 X^2+X  0  X  0 X^2+X X^2  X X^2+X  X X^2 X^2+X X^2  X X^2  X X^2 X^2  X  0 X^2+X  0 X^2 X^2  X X^2  0  0 X^2+X X^2  X X^2+X X^2+X X^2

generates a code of length 75 over Z2[X]/(X^3) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+60x^70+120x^71+117x^72+114x^73+94x^74+98x^75+103x^76+90x^77+71x^78+30x^79+31x^80+48x^81+20x^82+6x^83+1x^84+2x^85+8x^86+2x^87+2x^88+2x^89+2x^90+1x^96+1x^110

The gray image is a linear code over GF(2) with n=300, k=10 and d=140.
This code was found by Heurico 1.16 in 0.259 seconds.